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- W2514358045 abstract "Action-angle coordinates are an essential tool for understanding the properties of the six dimensional phase space involved in orbits of stars in galactic potentials. A new method, which does not require specific knowledge of a generating function, is described, implemented and tested that calculates the actions of an orbit in an arbitrary potential of an integrable Hamiltonian given a set of Cartesian phase space points. The method chooses between the simple harmonic oscillator and isochrone potentials to fit the data using a Levenberg-Marquardt routine. An average is taken over the angle coordinates by calculating volumes in phase space using the metric free FiEstAS algorithm. The perfect ellipsoidal potential, with actions chosen a priori, is used to test the output of the algorithm, giving some results that agree within 1%. Minimisation of a sampling error is discussed along with an identification of a source of noise in the data." @default.
- W2514358045 created "2016-09-16" @default.
- W2514358045 creator A5029055328 @default.
- W2514358045 date "2014-07-07" @default.
- W2514358045 modified "2023-09-27" @default.
- W2514358045 title "A new method for the determination of action integrals in the study of galactic dynamics" @default.
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- W2514358045 hasPublicationYear "2014" @default.
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